Sides of a triangle are in …

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now

Sides of a triangle are in the ratio of12:17:25 and its perimeter is 540cm. Find its area

Posted by Samrat Gundgal 4 years ago

CBSE > Class 09 > Mathematics

2 answers

Rudranshu Mishra 4 years ago

P=540cm. Sides=12x+17x+25x Perimeter=Sum of all sides. 540=54x x=10 Sides of triangle;120cm, 170cm, 250cm. Area of triangle =s√s(s-a) (s-b) (s-c) s=540÷2=270 s-a=270-120=150 s-b=270-170=100 s-c=270-250=20 √270×150×100×20 √81,000,000 9000cm²

1Thank You

Yogita Ingle 4 years ago

Ratio of the sides of the triangle = 12 : 17 : 25
Let the common ratio be x then sides are 12x, 17x and 25x
Perimeter of the triangle = 540cm
12x + 17x + 25x = 540 cm
⇒ 54x = 540cm
⇒ x = 10
Sides of triangle are,
12x = 12 × 10 = 120cm
17x = 17 × 10 = 170cm
25x = 25 × 10 = 250cm
Semi perimeter of triangle(s) = 540/2 = 270cm
Using heron's formula,Area of the triangle = √s (s-a) (s-b) (s-c)

= √270(270 - 120) (270 - 170) (270 - 250)cm²
= √270 × 150 × 100 × 20 cm²

= 9000 cm²

0Thank You

ANSWER

Related Questions

What is 38747484±393884747

Posted by Alvin Thomas 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

3√2×4√2×12√32

Posted by Manas Khurana 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

The polynomial of the type ax²+bx+c,a=0 is called

Posted by Gnani Yogi 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm. find its area

Posted by Akhilesh Patidar 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

2x+5y

Posted by Yash Pandey 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

Ch-1 introduction

Posted by Sheikh Alfaz 5 days, 12 hours ago

CBSE > Class 09 > Mathematics

0 answers

Prove that the sum of all the three interior angles of a triangle is 180 degree

Posted by Savitha Savitha 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by T Prudhvi 1 day, 20 hours ago

CBSE > Class 09 > Mathematics